11937
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16704
- Proper Divisor Sum (Aliquot Sum)
- 4767
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7568
- Möbius Function
- -1
- Radical
- 11937
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 143
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=66A011905
- Expansion of e.g.f.: exp(exp(x)-cos(x))=1+x+3/2!*x^2+8/3!*x^3+29/4!*x^4+112/5!*x^5...at n=8A013309
- Positive numbers whose product of digits is 9 times their sum.at n=35A062041
- Divide the natural numbers in sets of consecutive numbers, starting with {1,2}, each set with number of elements equal to the sum of elements of the preceding set. The number of elements in the n-th set gives a(n).at n=4A067338
- First occurrence of exactly n 1's in the binary expansion of sqrt(2).at n=8A084186
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+647)^2 = y^2.at n=5A130013
- Numbers of the form 56+p^2 (where p is a prime).at n=28A138690
- Augmentation of the triangle given by p(n,k)=(3+(-1)^k)/2 for 0<=k<=n. See Comments.at n=35A193631
- G.f. satisfies: A(x) = Sum_{n>=0} A(x)^n * x^(n^2) * (1 - x^(2*n+1))/(1 - x).at n=13A199409
- Number of singular 2 X 2 matrices having all elements in {-n,...,n}.at n=17A209981
- Fundamental discriminants of real quadratic number fields with class number 10.at n=26A218160
- Number of n X 2 nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down.at n=11A252822
- Number of (n+1) X (5+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=2A253492
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=23A253495
- Number of (3+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=4A253497
- Sum of numbers on n-th segment of Ulam's spiral.at n=44A257171
- Numbers m such that psi(x) = phi(m) has a solution while sigma(y) = phi(m) has none.at n=10A291524
- Number of T_0 integer partitions of n.at n=34A319564
- Numbers that are the sum of eight fifth powers in two or more ways.at n=36A345610
- Numbers that are the sum of eight fifth powers in exactly two ways.at n=36A346327